168120 has 48 divisors (see below), whose sum is σ = 547560. Its totient is φ = 44736.

The previous prime is 168109. The next prime is 168127. The reversal of 168120 is 21861.

168120 = T₂₀₁ + T₂₀₂ + ... + T₂₀₈.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 168093 and 168102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168127) by changing a digit.

168120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127 + ... + 593.

2¹⁶⁸¹²⁰ is an apocalyptic number.

168120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273780).

168120 is an abundant number, since it is smaller than the sum of its proper divisors (379440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168120 is a wasteful number, since it uses less digits than its factorization.

168120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 168120 is about 410.0243895185. The cubic root of 168120 is about 55.1916181350.

Adding to 168120 its reverse (21861), we get a palindrome (189981).

It can be divided in two parts, 1 and 68120, that added together give a square (68121 = 261²).

The spelling of 168120 in words is "one hundred sixty-eight thousand, one hundred twenty".